News from the world of maths: Kelvin's bubble burst again

A researcher from the University of Bath has tackled an old geometric problem with a new method, which may lead to advances in creating hip replacements and replacement bone tissue for bone cancer patients. The Kelvin problem, posed by Lord Kelvin in 1887, is to find an arrangement of cells, or bubbles, of equal volume, so that the surface area of the walls between them is as small as possible
— in other words, to find the most efficient soap bubble foam. The problem is relevant to bone replacement materials because bone tissue has a honeycomb-like structure, similar to a bubble foam.